13023 has 6 divisors (see below), whose sum is σ = 18824. Its totient is φ = 8676.

The previous prime is 13009. The next prime is 13033. The reversal of 13023 is 32031.

It is a happy number.

It is not a de Polignac number, because 13023 - 2⁴ = 13007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1447 = 13023 / (1 + 3 + 0 + 2 + 3).

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 12996 and 13014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 715 + ... + 732.

2¹³⁰²³ is an apocalyptic number.

13023 is a deficient number, since it is larger than the sum of its proper divisors (5801).

13023 is a wasteful number, since it uses less digits than its factorization.

13023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 13023 is about 114.1183596097. The cubic root of 13023 is about 23.5272055529.

Adding to 13023 its product of nonzero digits (18), we get a triangular number (13041 = T₁₆₁).

Adding to 13023 its reverse (32031), we get a palindrome (45054).

It can be divided in two parts, 130 and 23, that added together give a triangular number (153 = T₁₇).

The spelling of 13023 in words is "thirteen thousand, twenty-three".